Home
Class 12
MATHS
The range of parameter ' a ' for which ...

The range of parameter `' a '` for which the variable line `y=2x+a` lies between the circles `x^2+y^2-2x-2y+1=0` and `x^2+y^2-16 x-2y+61=0` without intersecting or touching either circle is `a in (2sqrt(5)-15 ,0)` `a in (-oo,2sqrt(5)-15 ,)` `a in (0,-sqrt(5)-1)` (d) `a in (-sqrt(5)-1,oo)`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

The two circles x^(2)+y^(2)-5=0 and x^(2)+y^(2)-2x-4y-15=0

If the variable line 3x-4y+k=0 lies between the circles x^(2)+y^(2)-2x-2y+1=0 and x^(2)+y^(2)-16x-2y+61=0 without x^(2)+y^(2)-16x-2y+61=0 without intersecting or touching either circle,then the range of k is (a,b) where a,b in I Find the value of (b-a).

Thye angle between the lines x-2y+sqrt(15)=0& the circle x^(2)+y^(2)-4x-2y+1=0, is

A line parallel to the line x-3y=2 touches the circle x^(2)+y^(2)-4x+2y-5=0 at the point

The pole of the line x-2y+5=0 with respect to the circle x^(2)+y^(2)-4x+2y-4=0 lies on

The angle between the lines sqrt(3)x-y-2=0 and x-sqrt(3)y+1=0 is

The equation of a circle is x^(2)+y^(2)=4. Find the center of the smallest circle touching the circle and the line x+y=5sqrt(2)

The line lambda x+mu y=1 is a normal to the circle 2x^(2)+2y^(2)-5x+6y-1=0 if

Find the equations of the two circles which intersect the circles x^2+y^2-6y+1=0 and x^2+y^2-4y+1=0 orthogonally and touch the line 3x+4y+5=0

RESONANCE DPP-JEE MAINS-All Questions
  1. A parabola with vertex (2, 0) and axis of symmetry parallel to the ...

    Text Solution

    |

  2. The range of the function f(x) = sin^(-1)[x^2+1/2]+cos^(-1)[x^2-1/2], ...

    Text Solution

    |

  3. The range of parameter ' a ' for which the variable line y=2x+a lies...

    Text Solution

    |

  4. Let f(x)=4x ^2-4ax+a^2-2a+2 x,aϵR If y=f(x) takes minimum value 3 on x...

    Text Solution

    |

  5. The logically equivalent proposition of phArrq is (p^^q)vv(p^^q) b. (p...

    Text Solution

    |

  6. If in triangle A B C ,A-=(1,10), circumcentre -=(-1/3,2/3) and orthoce...

    Text Solution

    |

  7. Let f(x)=4x^2-4ax+a^2-2a+2 be a quadratic polynomial in x, a be any re...

    Text Solution

    |

  8. Which of the following determinants(s) vanish(es)? |4 1 2 10 2 5 3 4 3...

    Text Solution

    |

  9. If vec a , vec ba n d vec c are non-coplanar vectors, prove that the ...

    Text Solution

    |

  10. If a ,b ,c are sides of a scalene triangle, then value of |a b c b c ...

    Text Solution

    |

  11. Set of all values of x satisfying in inequation cos^(-1)sqrt(x)>si...

    Text Solution

    |

  12. If y=a x^2+b x+c represents the curve given in the figure and b^2=2(b+...

    Text Solution

    |

  13. Which of the following function(s) defined below are continuous at the...

    Text Solution

    |

  14. Given two circle x^2+y^2-6x-2y+5=0&x^2+y^2+6x+22 y+5=0 . The tangent a...

    Text Solution

    |

  15. Find the domain of the following function: f(x)=1/([|x-1|]+[|12-x|]-11...

    Text Solution

    |

  16. The sides of a rhombus are parallel to y=2x+3a n d2y=x+5 . The diagona...

    Text Solution

    |

  17. The function f(x)=(tan^(-1)x)^3-(cot^(-1)x)^2+tan^(-1)x+2 is (a)decr...

    Text Solution

    |

  18. If the lines joining the points of intersection of the curve 4x^2+9y+1...

    Text Solution

    |

  19. If |1 1 1a b c a^3b^3c^3|=(a-b)(b-c)(c-a)(a+b+c), then the solution o...

    Text Solution

    |

  20. The equation of the circle of radius 5 in the first quadrant which ...

    Text Solution

    |